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Finding the Fourth Proportional to 80,572.83, 120,859.14 and 27,982.77

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Solution

The fourth proportional to 80,572.83, 120,859.14 and 27,982.77 is: 41,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,572.83 : 120,859.14 = 27,982.77 : x
  2. Step 2: Convert to fraction form
    80,572.83/120,859.14 = 27,982.77/x
  3. Step 3: Cross multiply
    80,572.83x = 120,859.14 × 27,982.77
  4. Step 4: Simplify right side
    80,572.83x = 3,381,973,517.02
  5. Step 5: Solve for x
    x = 3,381,973,517.02/80,572.83
  6. Step 6: Final answer
    x = 41,974.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.